Pith Number

pith:U55AUWHR

pith:2014:U55AUWHRT7VBJ3DKDCJA6JMC2H

not attested not anchored not stored refs pending

Maximally Modulated Singular Integral Operators and their Applications to Pseudodifferential Operators on Banach Function Spaces

Alexei Yu. Karlovich

arxiv:1408.4400 v1 · 2014-08-19 · math.FA · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U55AUWHRT7VBJ3DKDCJA6JMC2H}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:44:55.532186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77a0a58f19fea14ec6a18920f2582d1e6432a32d5bd70ae84428a41efbe9ffb

Aliases

arxiv: 1408.4400 · arxiv_version: 1408.4400v1 · doi: 10.48550/arxiv.1408.4400 · pith_short_12: U55AUWHRT7VB · pith_short_16: U55AUWHRT7VBJ3DK · pith_short_8: U55AUWHR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U55AUWHRT7VBJ3DKDCJA6JMC2H \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a77a0a58f19fea14ec6a18920f2582d1e6432a32d5bd70ae84428a41efbe9ffb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b0117b24af79a49de2da72775a1fe94cc9c9a85373b8d27d59528bb5f54f30",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-19T17:22:44Z",
    "title_canon_sha256": "573f6a1a1dcb98c22310d78c740029a3e22515cf99ad670b80d40d7bed2d1398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4400",
    "kind": "arxiv",
    "version": 1
  }
}